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jekas [21]
3 years ago
11

Which shows a difference of squares?

Mathematics
2 answers:
Romashka [77]3 years ago
6 0
Difference of two squares will be 

16y^2 -x^2 = (4y -x)(4y +x)

so the second choice 
Drupady [299]3 years ago
5 0

Answer with explanation:

1.\rightarrow 10y^2-x^2\\\\=(\sqrt{10}y)^2 -x^2

Number 10, is not Square of any Integer.

So, we can't say  with surety that this expression is difference of squares.

2. \rightarrow 16y^2-x^2\\\\= (4 y)^2 -x^2\\\\= (4 y-x)(4y+x)

The Binomial expression has two terms , which are perfect Squares.So, it is difference of squares.

3.\rightarrow 8x^2 - 40 x + 25\\\\=8 \times (x^2-5 x+3)+1\\\\=8 \times [(x-\frac{5}{2})^2-\frac{25}{4}+3]+1\\\\=8 \times [(x-\frac{5}{2})^2-\frac{13}{4}]+1\\\\=8 \times [(x-\frac{5}{2})^2]-\frac{13}{4}\times 8+1\\\\=8 \times [(x-\frac{5}{2})^2]-25\\\\=[2\sqrt{2}(x-\frac{5}{2})]^2-(5)^2

Number , 8 is not perfect Square.So, we can't say with surety , it is not difference of squares.

4\rightarrow 64x^2 - 48 x + 9\\\\=64\times(x^2-\frac{48x}{64}+\frac{9}{64})\\\\=64\times(x^2-\frac{3x}{4}+\frac{9}{64})\\\\=64 \times [(x-\frac{3}{8})^2-(\frac{3}{8})^2+\frac{9}{64}]\\\\=64 \times (x-\frac{3}{8})^2

This expression is perfect Square number,not Difference of Squares.

⇒⇒Most Appropriate expression which is difference of squares

Option B

  16y^2-x^2

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Answer:

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Which congruence theorems can be used to prove ΔABR ≅ ΔACR? Select three options.
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<u>Part A)</u> 7(a+b)=7a+

Using the distributive property

7(a+b)=7a+7b

therefore

<u>the answer Part A is</u>

9-----> A

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Using the distributive property

4(5+x)=20+4x

therefore

<u>the answer Part R is</u>

14-----> R

<u>Part Y)</u> 3(2x+9)=6x+

Using the distributive property

3(2x+9)=6x+27

therefore

<u>the answer Part Y is</u>

4-----> Y

Part S)  8(3x+1)=+8

Using the distributive property

8(3x+1)=24x+8

therefore

<u>the answer Part S is</u>

23-----> S

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Using the distributive property

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17-----> O  

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Using the distributive property

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<u>the answer Part E is</u>

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<u>Part I)</u> 2(7x+4y)=14x+

Using the distributive property

2(7x+4y)=14x+8y

therefore

<u>the answer Part I is</u>

20-----> I

<u>Part D)</u> 6(9+5x)=54+

Using the distributive property

6(9+5x)=54+30x

therefore

<u>the answer Part D is</u>

10-----> D  

<u>Part W)</u> x(a+3b)=+3bx

Using the distributive property

x(a+3b)=ax+3bx

therefore

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18-----> W

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Using the distributive property

a(8x+2y)=8ax+2ay

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<u>the answer Part E is</u>

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<u>Part T)</u> 0.5(4a+10)=2a+5

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(2/3)(12+9y)=8+6y

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5x+5y=5(x+y)

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13-----> O

<u>Part T)</u> 9a+9b=9(\ +b)

9a+9b=9(a+b)

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<u>the answer Part T is</u>

22-----> T

Part W) 4m+4n=\ (m+n)

4m+4n=4(m+n)

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16-----> W

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ab+3a=a(b+3)

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<u>the answer Part H is</u>

2-----> H  

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xy+15x=x(y+15)

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therefore

<u>the answer Part M is</u>

8-----> M  

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7ax+2ay=a(7x+2y)

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4kx+11ky=k(4x+11y)

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